Search a number
-
+
26140840 = 235113491
BaseRepresentation
bin110001110111…
…0000010101000
31211012002111021
41203232002220
523143001330
62332142224
7435123235
oct143560250
954162437
1026140840
1113835000
128907974
13555356b
14368678c
15246567a
hex18ee0a8

26140840 has 64 divisors (see below), whose sum is σ = 64825920. Its totient is φ = 9486400.

The previous prime is 26140837. The next prime is 26140847. The reversal of 26140840 is 4804162.

It is not an unprimeable number, because it can be changed into a prime (26140847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52995 + ... + 53485.

It is an arithmetic number, because the mean of its divisors is an integer number (1012905).

Almost surely, 226140840 is an apocalyptic number.

26140840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26140840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32412960).

26140840 is an abundant number, since it is smaller than the sum of its proper divisors (38685080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26140840 is a wasteful number, since it uses less digits than its factorization.

26140840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 26140840 is about 5112.8113597120. The cubic root of 26140840 is about 296.7835643066.

The spelling of 26140840 in words is "twenty-six million, one hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 491 605 968 982 1210 1331 1964 2420 2455 2662 3928 4840 4910 5324 5401 6655 9820 10648 10802 13310 19640 21604 26620 27005 43208 53240 54010 59411 108020 118822 216040 237644 297055 475288 594110 653521 1188220 1307042 2376440 2614084 3267605 5228168 6535210 13070420 26140840